- Identify the formula for the quota: \(\text{Quota} = \frac{\text{Enrollment}}{29}\).
- Calculate the quota for Campus B (\(1917 \div 29\)): \(\boxed{66.10}\).
- Calculate the quota for Campus C (\(319 \div 29\)): \(\boxed{11.00}\).
- Calculate the quota for Campus D (\(2761 \div 29\)): \(\boxed{95.21}\).
Explanation
- Problem Analysis and Data Overview
The problem asks us to find the quota for several campuses (B, C, and D) based on their enrollment figures and a standard divisor of 29. The quota for a campus is determined by dividing its total enrollment by the standard divisor. We are given the following enrollment data:
- Campus B: 1917
- Campus C: 319
- Campus D: 2761
Our objective is to calculate the quota for each of these campuses using the formula \(\text{Quota} = \frac{\text{Enrollment}}{29}\) and rounding the final results to two decimal places.
- Calculating and Rounding Quotas
To find the quota for each campus, we apply the formula \(\text{Quota} = \frac{\text{Enrollment}}{29}\) to each enrollment figure:
- For Campus B: \(\frac{1917}{29} \approx 66.1034\). Rounding to two decimal places, we get \(66.10\).
- For Campus C: \(\frac{319}{29} = 11.00\).
- For Campus D: \(\frac{2761}{29} \approx 95.2069\). Rounding to two decimal places, the third decimal digit (6) is greater than 5, so we round up the second digit to get \(95.21\).
- Final Results
Based on our calculations, the missing quota values for the campuses at the standard divisor of 29 are:
- Campus B: \(\boxed{66.10}\)
- Campus C: \(\boxed{11.00}\)
- Campus D: \(\boxed{95.21}\)
Examples
In resource allocation and administration, calculating quotas is a standard method to distribute limited resources fairly among different groups based on their size. For instance, a university might use an enrollment quota to decide how many teaching assistants or budget funds to allocate to different academic departments relative to their student population. By dividing total student numbers by a predetermined divisor, administrators can ensure that funding is proportional to the number of students served, helping to maintain balance across the institution.